解:a1+2a2+```+nan=n^2/2^n∴a1+2a2+````(n-1)a(n-1)=(n-1)^2/2^(n-1)nan=[n^2-2n^2+4n-2]/2^n即an=(-n^2+4n-2)/n*2^n 如有疑问,可追问!